A brief introduction to Hilbert space frame theory and its applications Page 16 Proceedings
of Symposia in Applied Mathematics Volume 73 , 2016 http://dx. doi. org/10.1090/psapm/073/00627 …

Let ℍ be a separable Hilbert space, let G⊂ ℍ, and let A be an operator on ℍ. Under
appropriate conditions on A and G, it is known that the set of iterations FG (A)={A jg| g∈ G …

This paper investigates scalable frame in ${\mathbb R}^ n $. We define the reduced diagram
matrix of a frame and use it to classify scalability of the frame under some conditions. We …

Scaling frame vectors is a simple and noninvasive way to construct tight frames. However,
not all frames can be modified to tight frames in this fashion, so in this case we explore the …

We introduce a projective Riesz s-kernel for the unit sphere S^ d-1 S d-1 and investigate
properties of N-point energy minimizing configurations for such a kernel. We show that these …

The purpose of this paper is to study the dynamical representation of frames in tensor
product of two Hilbert spaces H 1⊗ H 2. We have considered frames in H 1⊗ H 2 and …

In this paper we define “piecewise scalable frames”. This new scaling process allows us to
alter many frames to Parseval frames which is impossible by the previous standard scaling …

Quantum statistical models (ie, families of normalized density matrices) and quantum
measurements (ie, positive operator-valued measures) can be regarded as linear maps: the …

In this chapter we survey two topics that have recently been investigated in frame theory.
First, we give an overview of the class of scalable frames. These are (finite) frames with the …

For a unit-norm frame $ F=\{f_i\} _ {i= 1}^ k $ in $\R^ n $, a scaling is a vector $ c=(c (1),\dots,
c (k))\in\R_ {\geq 0}^ k $ such that $\{\sqrt {c (i)} f_i\} _ {i= 1}^ k $ is a Parseval frame in $\R^ n …